Microscopic Derivation of the Ginzburg-Landau Model

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We present a summary of our recent rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof.
Original languageEnglish
Title of host publicationProceedings of the XVIIth International Congress on Mathematical Physics : Aalborg, Denmark, 6 – 11 August 2012
EditorsArne Jensen
Place of PublicationHackensack, NJ
PublisherWorld Scientific
Publication date2014
Pages575–583
ISBN (Print)978-981-4449-23-6
ISBN (Electronic)978-981-4449-25-0
Publication statusPublished - 2014

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